Naïve Tests of Basic Local Independence Model's Invariance. (2015)

• Record Type: Journal Article
• Authors: Chiusole, Debora de; Stefanutti, Luca; Anselmi, Pasquale; Robusto, Egidio
• Is Part Of: Spanish journal of psychology. Volume 18(2015)
• Publication Date: 2015
• Subjects: knowledge space theory, -- basic local independence model, -- parameter invariance assumption, -- bipartition models; Psychology -- Periodicals; 150
• DOI: 10.1017/sjp.2015.24
• Languages: English
• ISSNs: 1138-7416

Abstract

Abstract: The basic local independence model (BLIM) is a probabilistic model for knowledge structures, characterized by the property that lucky guess and careless error parameters of the items are independent of the knowledge states of the subjects. When fitting the BLIM to empirical data, a good fit can be obtained even when the invariance assumption is violated. Therefore, statistical tests are needed for detecting violations of this specific assumption. This work provides an extension to theoretical results obtained by de Chiusole, Stefanutti, Anselmi, and Robusto (2013), showing that statistical tests based on the partitioning of the empirical data set into two (or more) groups are not adequate for testing the BLIM's invariance assumption. A simulation study confirms the theoretical results.